Nagata's embedding theorem
Algebraic Geometry
2007-06-14 v1
Abstract
In 1962-63, M. Nagata showed that an abstract variety could be embedded into a complete variety. Later, P. Deligne translated Nagata's proof into the language of schemes, but did not publish his notes. This paper, which is to appear as an appendix in a forthcoming book, gives an elaboration of Deligne's notes. It also contains some complementary results on extending divisors and vector sheaves to suitable completions.
Cite
@article{arxiv.0706.1907,
title = {Nagata's embedding theorem},
author = {Paul Vojta},
journal= {arXiv preprint arXiv:0706.1907},
year = {2007}
}